4(16/3+3)-5(32/3-6)=2(64/3-3)+16/3 eching

$$4( \frac{ 16 }{ 3 } +3)-5( \frac{ 32 }{ 3 } -6)=2( \frac{ 64 }{ 3 } -3)+ \frac{ 16 }{ 3 }$$

Tasdiqlamoq

Yechim qadamlari

3 ni \frac{9}{3} kasrga o‘giring.

$$4\left(\frac{16}{3}+\frac{9}{3}\right)-5\left(\frac{32}{3}-6\right)=2\left(\frac{64}{3}-3\right)+\frac{16}{3}$$

\frac{16}{3} va \frac{9}{3} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$4\times \frac{16+9}{3}-5\left(\frac{32}{3}-6\right)=2\left(\frac{64}{3}-3\right)+\frac{16}{3}$$

25 olish uchun 16 va 9'ni qo'shing.

$$4\times \frac{25}{3}-5\left(\frac{32}{3}-6\right)=2\left(\frac{64}{3}-3\right)+\frac{16}{3}$$

4\times \frac{25}{3} ni yagona kasrga aylantiring.

$$\frac{4\times 25}{3}-5\left(\frac{32}{3}-6\right)=2\left(\frac{64}{3}-3\right)+\frac{16}{3}$$

100 hosil qilish uchun 4 va 25 ni ko'paytirish.

$$\frac{100}{3}-5\left(\frac{32}{3}-6\right)=2\left(\frac{64}{3}-3\right)+\frac{16}{3}$$

6 ni \frac{18}{3} kasrga o‘giring.

$$\frac{100}{3}-5\left(\frac{32}{3}-\frac{18}{3}\right)=2\left(\frac{64}{3}-3\right)+\frac{16}{3}$$

\frac{32}{3} va \frac{18}{3} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{100}{3}-5\times \frac{32-18}{3}=2\left(\frac{64}{3}-3\right)+\frac{16}{3}$$

14 olish uchun 32 dan 18 ni ayirish.

$$\frac{100}{3}-5\times \frac{14}{3}=2\left(\frac{64}{3}-3\right)+\frac{16}{3}$$

5\times \frac{14}{3} ni yagona kasrga aylantiring.

$$\frac{100}{3}-\frac{5\times 14}{3}=2\left(\frac{64}{3}-3\right)+\frac{16}{3}$$

70 hosil qilish uchun 5 va 14 ni ko'paytirish.

$$\frac{100}{3}-\frac{70}{3}=2\left(\frac{64}{3}-3\right)+\frac{16}{3}$$

\frac{100}{3} va \frac{70}{3} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{100-70}{3}=2\left(\frac{64}{3}-3\right)+\frac{16}{3}$$

30 olish uchun 100 dan 70 ni ayirish.

$$\frac{30}{3}=2\left(\frac{64}{3}-3\right)+\frac{16}{3}$$

10 ni olish uchun 30 ni 3 ga bo‘ling.

$$10=2\left(\frac{64}{3}-3\right)+\frac{16}{3}$$

3 ni \frac{9}{3} kasrga o‘giring.

$$10=2\left(\frac{64}{3}-\frac{9}{3}\right)+\frac{16}{3}$$

\frac{64}{3} va \frac{9}{3} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$10=2\times \frac{64-9}{3}+\frac{16}{3}$$

55 olish uchun 64 dan 9 ni ayirish.

$$10=2\times \frac{55}{3}+\frac{16}{3}$$

2\times \frac{55}{3} ni yagona kasrga aylantiring.

$$10=\frac{2\times 55}{3}+\frac{16}{3}$$

110 hosil qilish uchun 2 va 55 ni ko'paytirish.

$$10=\frac{110}{3}+\frac{16}{3}$$

\frac{110}{3} va \frac{16}{3} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$10=\frac{110+16}{3}$$

126 olish uchun 110 va 16'ni qo'shing.

$$10=\frac{126}{3}$$

42 ni olish uchun 126 ni 3 ga bo‘ling.

$$10=42$$

10 va 42 ni taqqoslang.

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